Which graph represents all the solutions of the inequality 10n+3>8n+7?

Answer:A- direct variation function

Step-by-step explanation:

h(x) = [x] + 4 is in A. direct variation function as we increase the value of x the function h(x) will also increase and vice versa.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given,  h(x) = [x] + 4, as we increase the value of x the function h(x) will also increase and vice versa.

So,  h(x) = [x] + 4 is in direct variation.

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Answer:

a. The equation is y = 19 x

b. The height of 13 DVD cases is 247 mm

Step-by-step explanation:

- A proportional relationship is about two quantities vary directly with

each other

- Ex: If y proportion to x, then y is varies directly with x

 That means y ∝ x ⇒ y = k x, where k is the constant of variation

- The height of a stack of DVD case is proportional to the number of

 case in the stack

- That means the height of DVD cases varies with the number of cases

- The height of 6 DVD case is 114 mm

a.

∵ The number of cases = x

∵ The height of the cases = y

∴ y ∝ x

∴ y = k x

- To find k lets use the first information above

∵ y = 114 mm when x = 6

- Substitute these values in the equation above to find k

∵ 114 = 6 k

- Divide both sides by 6

∴ k = 19

- Substitute the value of k in the equation above

∴ y = 19 x

* The equation is y = 19 x

b.

- We need to find the height of 13 DVD cases

∵ y = 19 x

∵ x = 13

- Substitute the value of x in the equation

∴ y = 19 × 13

∴ y = 247 mm

* The height of 13 DVD cases is 247 mm

The height will be 143 mm for a stack of 13 DVD cases.

The constant of proportionality is the constant value of the ratio of two proportional values. A proportionality relation exists between two changing quantities when either their ratio or product gives a constant.

The overall height of the 8 cases stacked on top of each other is 88 mm.

Because you need to know the height of each individual DVD case, divide the height (88 mm) by the number of DVD cases (8):

⇒ 88/ 8 = 13

⇒ 88 ÷ 8 = 13

Then it asks for the height of a stack of 13 cases, so multiply the 11 (the height of each DVD case) by 13:

11 × 13= 143

Therefore, 13 DVD cases stacked on top of each other have a height of 143 mm.

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The question seems to be incomplete the correct question would be:

The height of a stack of DVD cases is in proportional relationship to the number of cases in the stack. A stack of 8 cases and its height is shown. Find the constant of proportionality. Then use the constant of proportionality to find the height of a stack of 13 cases.

The height of the 8 cases stacked on top of each other is 88 mm.

Answer:

every 8 mins

Step-by-step explanation:

bus b

Answer:

(4, -3)

Step-by-step explanation:

It says my answers need to be at least 20 characters long so I had to write this.

Answer:

1000=5x

Step-by-step explanation:

200 tickets

200*5 is 1000. 1000+500 is 1500

Answer:

1.  124 degrees                       2.141 degrees

3.         b then a                4.b then b

Step-by-step explanation:

Answer:

-64

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The diameter is always the same as 2*the radius, so if the radius is 7, the diameter is 14.  Most of the information presented is unrelated.

Answer:12x+10y-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

5.c  hope this help - shelby

Step-by-step explanation:

Answer:

I’m confused

Step-by-step explanation:

Answer:

Step-by-step explanation:

Volume of a rectangular prism ( V ) = 504 [tex]\sf{ cm^{3} }[/tex]

Length of a rectangular prism ( l ) = 9 cm

Width of a rectangular prism ( w ) = 8 cm

Height of a rectangular prism ( h ) = ?

[tex]\dashrightarrow[/tex] 504 = 9 * 8 * h

[tex]\dashrightarrow[/tex] 504 = 72 h

[tex]\dashrightarrow[/tex] 72h = 504

[tex]\dashrightarrow[/tex] h = [tex]\frac{504}{72}[/tex]

[tex]\dashrightarrow[/tex] h = 7 cm

The height of a rectangular prism is 7 cm.

Hope I helped!

Best regards!

~TheAnimeGirl

The height is 7 cm of the rectangular prism whose volume is 504 cm³.

A rectangular prism is a solid three-dimensional structure with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.

Given, The volume of a rectangular prism is 504 cubic centimeters. If the length of a rectangular prism is 9 centimeters and the width is 8 centimeters.

From the general formula of the rectangular prism

Volume  = length *width *height

Substituting the data given above

504 = 9 * 8 * height

Height = 7 cm

Therefore, the Height of the rectangular prism is 7 cm.

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Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.

Answer:

[tex]n = 3[/tex]

[tex]XY = 39[/tex]

[tex]XZ = 39[/tex]

Step-by-step explanation:

Given

[tex]XY = 9n + 12[/tex]

[tex]XZ = 15n - 6[/tex]

[tex]<XYZ = <YZX[/tex]

Solving (a): n

To solve for n;

We make use of

[tex]XY = XZ[/tex]

Substitute values for XY and XZ

[tex]9n + 12 = 15n - 6[/tex]

[tex]9n - 15n = -12 - 6[/tex]

[tex]-6n = -18[/tex]

Divide through by -6

[tex]n = 3[/tex]

Solving (b) XY

[tex]XY = 9n + 12[/tex]

Substitute 3 for n

[tex]XY = 9 * 3 + 12[/tex]

[tex]XY = 27 + 12[/tex]

[tex]XY = 39[/tex]

Solving (c): XZ

[tex]XZ = XY[/tex]

[tex]XZ = 39[/tex]

The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isosceles triangle.

Given :

Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.

From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:

XY = XZ

9n + 12 = 15n - 6

Simplify the above expression in order to determine the value of 'n'.

18 = 6n

n = 3 ft

The measure of leg XY is given by:

XY = 9(3) + 12 = 39 ft

The measure of leg XZ is given by:

XZ = 15(3) - 6 = 39 ft

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Answer:

She will drive 272 miles in 4 hours.

Step-by-step explanation:

=====================================================

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

-------------------

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Answer:

Step-by-step explanation:

Givens

P = 2*L + 2*W

P = 70

w = 16

Solution

70 = 2L + 2*16

70 = 2L + 32

70-32 = 2L

38 = 2L

38/2 = 2L/2

L = 19

Answer: 163>136

Step-by-step explanation:

Answer:

C=-3t+30

Step-by-step explanation:

Answer: R = 4.93

Step-by-step explanation:

19.72/4 = 4.93

Answer:

j+z+12

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

it would be 9.7 x 10^3

Answer:

x=19

Step-by-step explanation:

90-71=19

Answer:

241

Step-by-step explanation:

241

Answer:

241

Step-by-step explanation:

2^8 - 10 -15 / 3

256 - 10 - 15 / 3

256 - 10 - 5

246 - 5

241

Hope this helps!

Answers:

x = 2.40

y = 1.60

This means 1 hot cocoa costs $2.40 and 1 pretzel costs $1.60

=======================================

Work Shown:

x = cost of 1 cup of hot cocoa

y = cost of 1 pretzel

5x = cost of 5 cocoas

4y = cost of 4 pretzels

5x+4y = cost of 5 cocoas+4 pretzels

5x+4y = 18.40

----------------

2x = cost of 2 cocoas

4y = cost of 4 pretzels

2x+4y = cost of 2 cocoas+4 pretzels

2x+4y = 11.20

----------------

The system of equations we have is

[tex]\begin{cases}5x+4y = 18.40\\2x+4y = 11.20\end{cases}[/tex]

Note how 4y shows up twice. This is handy to be able to get rid of the y terms completely.

How? By subtracting the equations straight down

The x terms subtract to 5x-2x = 3x

The y terms subtract to 4y-4y = 0y = 0 and they go away

The right hand sides subtract to 18.40 - 11.20 = 7.20

After those three separate subtractions, we have this new equation:

3x = 7.20

Divide both sides by 3 to isolate x

3x/3 = 7.20/3

x = 2.40

Each hot cocoa costs $2.40

Now use this x value to find y. You can pick any equation you want as long as it has x,y in it. I'll pick the first equation

5x+4y = 18.40

5(2.40)+4y = 18.40

12+4y = 18.40

4y = 18.40-12

4y = 6.40

y = 6.40/4

y = 1.60

Each pretzel costs $1.60

If we picked on the second equation, we should get the same y value

Let's find out

2x+4y = 11.20

2(2.40)+4y = 11.20

4.80+4y = 11.20

4y = 11.20-4.80

4y = 6.40

y = 6.40/4

y = 1.60

We get the same result as before.

To check the answers, you need to plug those values back into the two original equations and simplify. You should get the same thing on both sides.

Answer:

5

Step-by-step explanation:

Answer:

1 time

Step-by-step explanation:

Answer:

-4 Degrees Fahrenheit

Step-by-step explanation:

Given

[tex]Initial\ Temperature = 8[/tex] ---- at 10am

[tex]Difference = -3[/tex]

Required

Determine the final temperature at 2pm

First, we need to determine the hour from 10am to 2pm (Both inclusive)

[tex]Interval = 2pm - 10am + 1hr[/tex]

[tex]Interval = 4hr + 1hr[/tex]

[tex]Interval = 5hr[/tex]

To solve further, we make use of the following Arithmetic Progression formula:

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]a = 8[/tex] --- Initial

[tex]d = -3[/tex] --- difference

[tex]n = 5[/tex] -- 5th term

[tex]T_n[/tex] --- Final temperature at 2pm

So: we have:

[tex]T_n = 8 + (5 - 1) * -3[/tex]

[tex]T_n = 8 + (4) * -3[/tex]

[tex]T_n = 8 + 4 * -3[/tex]

[tex]T_n = 8 -12[/tex]

[tex]T_n = -4[/tex]

Hence:

The temperature is -4 Degrees Fahrenheit

Answer:

y−7=2/3⋅(x-5)

Step-by-step explanation:

Find the point-slope form.

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.